Constitutions of Matter: Mathematically Modeling the Most Everyday of Physical Phenomena

Constitutions of Matter: Mathematically Modeling the Most Everyday of Physical Phenomena

By: Martin H. Krieger (author)Hardback

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Description

In this work, Martin H. Krieger shows what physicists are really doing behind the nearly impenetrable cloud of mathematical models they use as research tools. He argues that the technical details of these complex calculations serve not only as a means to an end, but also reveal key aspects of the physical properties they model. Using two "tours de force" of modern physics as case studies, as proofs that ordinary matter is stable, and solutions to the Ising model of a phase transition (how a liquid freezes to a solid, for instance), Krieger seeks to uncover the philosophical foundations on which the mathematical models of these phenomena are built.

Contents

List of Figures Preface 1: Modeling the Constitutions of Matter 2: Analysis: The Stability of Bulk Matter 3: Mathematics: Infinite Volume Limits and Thermodynamics 4: Formalism: Constituting Bulk Matter: Solutions to the Ising Model, and Duality in Those Solutions 5: Analysis: Generic, Formal, Model-Independent Accounts of the Constitution of Matter as Philosophical 6: Formalism: Technical Devices Doing the Work of Physics 7: Physics and Mathematics: Finding the Right Mechanism and Choosing the Right Functions 8: The Physics and the Mathematics Appendix: Two Papers by Lars Onsager A: Electrostatic Interaction of Molecules (1939) B: Crystal Statistics, Part I: A Two-Dimensional Model with an Order-Disorder Transition (1944) Notes References Index

Product Details

  • ISBN13: 9780226453040
  • Format: Hardback
  • Number Of Pages: 366
  • ID: 9780226453040
  • weight: 620
  • ISBN10: 0226453049

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